Attractor – Wikipedia, the free encyclopedia

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A trajectory of the dynamical system in the attractor does not have to satisfy any special constraints except for remaining on the attractor, forward in time. The trajectory may be periodic or chaotic. If a set of points is periodic or chaotic, but the flow in the neighborhood is away from the set, the set is not an attractor, but instead is called arepeller (or repellor).

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https://en.wikipedia.org/wiki/Attractor

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